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Programme Of Study For Key Stage 4 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to apply Pythagorasâ€™ Theorem and trigonometric ratios to find angles and lengths in right-angled triangles {and, where possible, general triangles} in 2 {and 3} dimensional figures"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- 3D Trigonometry Presentation A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.
- Trigonometry 20 trigonometry questions in an online, self marking exercise.
- Which Side? Arrange the diagrams in groups depending on whether the arrow is pointing to the opposite, adjacent or hypotenuse.

Here are some exam-style questions on this statement:

- "
*The diagram (not drawn to scale) shows a right-angled triangle.*" ... more - "
*An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29*" ... more^{o}. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.5 metres above ground level. - "
*The diagram shows a trapezium where the sides AC and BD are parallel.*" ... more - "
*Four copies of a green right-angled triangle are used to enclose a yellow square.*" ... more - "
*Triangle ABC has a right angle at C.*" ... more - "
*(a) Write down the exact value of \(\tan 60^o\).*" ... more - "
*The gradient of the line joining the origin to the point A is \(\frac12\)*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.